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We provide two improvements to Regev's recent quantum factoring algorithm (Journal of the ACM 2025), addressing its space efficiency and its noise-tolerance. Our first contribution is to improve the quantum space efficiency of Regev's…

Quantum Physics · Physics 2025-05-02 Seyoon Ragavan , Vinod Vaikuntanathan

Combinatorial optimization - a field of research addressing problems that feature strongly in a wealth of scientific and industrial contexts - has been identified as one of the core potential fields of applicability of quantum computers. It…

Quantum Physics · Physics 2024-03-19 Niklas Pirnay , Vincent Ulitzsch , Frederik Wilde , Jens Eisert , Jean-Pierre Seifert

We perform logical and physical resource estimation for computing binary elliptic curve discrete logarithms using Shor's algorithm on fault-tolerant quantum computers. We adopt a windowed approach to design our circuit implementation of the…

Quantum Physics · Physics 2025-09-01 Michael Garn , Angus Kan

Noise and errors are inevitable parts of any practical implementation of a quantum computer. As a result, large-scale quantum computation will require ways to detect and correct errors on quantum information. Here, we present such a quantum…

A new approach suitable for distributed quantum machine learning and exhibiting memory is proposed for a photonic platform. This measurement-based quantum reservoir computing takes advantage of continuous variable cluster states as the main…

Quantum computing has transformative computational power to make classically intractable computing feasible. As the algorithms that achieve practical quantum advantage are beyond manual tuning, quantum circuit optimization has become…

Programming Languages · Computer Science 2025-06-26 Zihan Chen , Henry Chen , Yuwei Jin , Minghao Guo , Enhyeok Jang , Jiakang Li , Caitlin Chan , Won Woo Ro , Eddy Z. Zhang

Amongst the most remarkable successes of quantum computation are Shor's efficient quantum algorithms for the computational tasks of integer factorisation and the evaluation of discrete logarithms. In this article we review the essential…

Quantum Physics · Physics 2016-11-18 Richard Jozsa

We report the realization of a nuclear magnetic resonance (NMR) quantum computer which combines the quantum Fourier transform (QFT) with exponentiated permutations, demonstrating a quantum algorithm for order-finding. This algorithm has the…

Engineering design processes involve iterative design evaluations requiring numerous computationally intensive numerical simulations. Quantum algorithms promise substantial speedups for specific tasks relevant to engineering simulations.…

Quantum Physics · Physics 2026-03-26 Leonhard Hölscher , Lukas Müller , Or Samimi , Tamuz Danzig

More computational resources (i.e., more physical qubits and qubit connections) on a superconducting quantum processor not only improve the performance but also result in more complex chip architecture with lower yield rate. Optimizing both…

Quantum Physics · Physics 2019-12-02 Gushu Li , Yufei Ding , Yuan Xie

A quantum computer has the potential to effciently solve problems that are intractable for classical computers. Constructing a large-scale quantum processor, however, is challenging due to errors and noise inherent in real-world quantum…

Large quantum computers promise to solve some critical problems not solvable otherwise. However, modern quantum technologies suffer various imperfections such as control errors and qubit decoherence, inhibiting their potential utility. The…

Quantum Physics · Physics 2023-01-19 Andrii Maksymov , Jason Nguyen , Yunseong Nam , Igor Markov

Scaling the size of monolithic quantum computer systems is a difficult task. As the number of qubits within a device increases, a number of factors contribute to decreases in yield and performance. To meet this challenge, distributed…

We propose a scalable and robust architecture for one-way quantum computation using coupled networks of superconducting transmission line resonators. In our protocol, quantum information is encoded into the long-lived photon states of the…

Quantum Physics · Physics 2015-06-03 Chun-Wang Wu , Ming Gao , Hong-Yi Li , Zhi-Jiao Deng , Hong-Yi Dai , Ping-Xing Chen , Cheng-Zu Li

The quantum adder is an essential attribute of a quantum computer, just as classical adder is needed for operation of a digital computer. We model the quantum full adder as a realistic complex algorithm on a large number of qubits in an…

Quantum Physics · Physics 2007-05-23 D. I. Kamenev , G. P. Berman , R. B. Kassman , V. I. Tsifrinovich

The execution cost of quantum algorithms is typically quantified through asymptotic gate counts and qubit register sizes, yet these metrics do not directly capture which genuinely quantum resources, and in what amount, must be created and…

Quantum Physics · Physics 2026-05-08 Alessio Paviglianiti , Matteo Seclì , Emanuele Tirrito , Vincenzo Savona

Fixed-frequency superconducting quantum processors are one of the most mature quantum computing architectures with high-coherence qubits and simple controls. However, high-fidelity multi-qubit gates pose tight requirements on individual…

Quantum Physics · Physics 2022-08-22 Alexis Morvan , Larry Chen , Jeffrey M. Larson , David I. Santiago , Irfan Siddiqi

The practical construction of scalable quantum computer hardware capable of executing non-trivial quantum algorithms will require the juxtaposition of different types of quantum systems. We analyze a modular ion trap quantum computer…

Quantum Physics · Physics 2014-02-19 C. Monroe , R. Raussendorf , A. Ruthven , K. R. Brown , P. Maunz , L. -M. Duan , J. Kim

In general, a quantum circuit is constructed with elementary gates, such as one-qubit gates and CNOT gates. It is possible, however, to speed up the execution time of a given circuit by merging those elementary gates together into larger…

Quantum Physics · Physics 2009-11-10 Mikio Nakahara , Yasushi Kondo , Kazuya Hata , Shogo Tanimura

We propose a novel technique for optimizing a modular fault-tolerant quantum computing architecture, taking into account any desired space-time trade-offs between the number of physical qubits and the fault-tolerant execution time of a…